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arXiv · 1806.04948

An algebraic characterization of the Kronecker function

Nils Matthes
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Abstract

We characterize the generating series of extended period polynomials of normalized Hecke eigenforms for $\operatorname{PSL}_2(\mathbb Z)$ studied by Zagier in terms of the period relations and existence of a suitable factorization. For this we prove a characterization of the Kronecker function as the `fundamental solution' to the Fay identity.

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Nils Matthes. 2018-06-13. An algebraic characterization of the Kronecker function. https://doi.org/10.1007/s40687-019-0186-0

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